New Estimates for the Bottom of the Spectrum of Schrödinger Operators

被引：0
|
作者：
Daniel Levin
机构：
[1] Technion – Israel Institute of Technology,Department of Mathematics
[2] University of Oxford,Mathematical Institute
来源：
Annals of Global Analysis and Geometry | 2006年 / 29卷
关键词：
bottom of spectrum; -Sobolev inequality; Schrödinger operator;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain a bound for the bottom of the negative spectrum of Schrödinger operators on weighted Riemannian manifolds in terms of F-Sobolev inequalities. Also, we show how an estimate for the first negative eigenvalue implies the F-Sobolev inequality.
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页码：313 / 322
页数：9
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